Derive firstorder conditions

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Reference no: EM132435879

1. For the production function

y = 3x1 + 2x2,

Find

a. The MPP of x1.

b. The MPP of x2.

c. The marginal rate of substitution of x1 for x2.

2. Suppose that the production function is given by

y = x10.5x20.3

a. Set up a Lagrangean optimization problem using this production function. Derive firstorder conditions.

b. Suppose that the output, y, sells for $4.00 per unit and that x1 and x2 both sell for$0.10 per unit? How much x1 and x2 would the farmer purchase in order to maximize profit?

Reference no: EM132435879

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